You're putting her down before she stops squirming, right? She's learned that squirming gets her what she wants.

When you handle her, do so in a quiet dim place sitting down. Just do the hand over hand method as she whips and squirms. Once she shows signs of calming down, even a little, go ahead and put her away. Keep this up and have her out a little longer as she calms each time. Eventually she should settle down once in your hands.

I had an adult that would do that and he has mostly settled now. I also have a baby that I'm working with, but it's harder with them because they're so small and fragile.

That's my suggestion, at any rate.